• Kempf Space-time, 2010

    From ross.finlayson@gmail.com@21:1/5 to All on Tue Sep 24 19:35:45 2019
    https://iopscience.iop.org/article/10.1088/1367-2630/12/11/115001/meta

    Achim Kempf, "Spacetime could be simultaneously continuous and discrete,
    in the same way that information can be" - 2010

    Kempf space-time

    Kempf writes in natural signal terms continuum mechanics in
    the signal continuum mechanics, with field continuity, line continuity,
    and signal continuity.

    He frames the discrete and continuous in clearly density terms,
    here bucket filling in continuous and infinite buckets.

    Cantor's theorem is in his way - he works around countable additivity,
    keeping of course uncountable non-additivity, where the uncountable
    is also the condition that it is relatively uncountable-summability.

    (Of the countably additive.)

    Neatly!

    Then of course it is talking about sampling, the signal analysis,
    where the point is that the discrete signal clearly is incomplete,
    central.

    Sampling under probability, the discrete and continuous
    is in the measurement the "signal", as it differs from the
    impulse, or the wave (falling wave).

    Time terms always speed up to presentation.

    (And state.)

    Sampling, observation, measurement effects,
    these usually work up from measurement effects
    (for example pulling up).

    Sampling usually first is under effect of measurement effect.

    Observation under action and sampling under recognition,
    Kempf's space-time as informatic - information is under terms
    in Kempf's space-time.

    Yeah, information is under terms.

    Kempf points to signal processing canon for signal theory -
    terms under recognition and action, in a theory.

    Indeed, the universe is very information-theoretic.

    Filed under real theories.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From ross.finlayson@gmail.com@21:1/5 to ross.f...@gmail.com on Wed Sep 25 01:44:39 2019
    On Tuesday, September 24, 2019 at 7:35:46 PM UTC-7, ross.f...@gmail.com wrote:
    https://iopscience.iop.org/article/10.1088/1367-2630/12/11/115001/meta

    Achim Kempf, "Spacetime could be simultaneously continuous and discrete,
    in the same way that information can be" - 2010

    Kempf space-time

    Kempf writes in natural signal terms continuum mechanics in
    the signal continuum mechanics, with field continuity, line continuity,
    and signal continuity.

    He frames the discrete and continuous in clearly density terms,
    here bucket filling in continuous and infinite buckets.

    Cantor's theorem is in his way - he works around countable additivity, keeping of course uncountable non-additivity, where the uncountable
    is also the condition that it is relatively uncountable-summability.

    (Of the countably additive.)

    Neatly!

    Then of course it is talking about sampling, the signal analysis,
    where the point is that the discrete signal clearly is incomplete,
    central.

    Sampling under probability, the discrete and continuous
    is in the measurement the "signal", as it differs from the
    impulse, or the wave (falling wave).

    Time terms always speed up to presentation.

    (And state.)

    Sampling, observation, measurement effects,
    these usually work up from measurement effects
    (for example pulling up).

    Sampling usually first is under effect of measurement effect.

    Observation under action and sampling under recognition,
    Kempf's space-time as informatic - information is under terms
    in Kempf's space-time.

    Yeah, information is under terms.

    Kempf points to signal processing canon for signal theory -
    terms under recognition and action, in a theory.

    Indeed, the universe is very information-theoretic.

    Filed under real theories.

    Quotes from Kempf (quotations):

    "The formalism establishes, therefore, an equivalence
    between discrete and continuous representations of
    spacetimes and fields."


    "To address this question,
    it will be useful to implement the UV cutoff."

    "... generically, we may expect (tau) to be invertible,
    as we have a map from R^N into R^N and
    the determinant of the Jacobian has no _obvious_
    reason to vanish."

    "We can expand these fields in terms of eigenfunctions, ...".

    Thanks, I can read!

    "... it is non-trivial to suitably discretize the spectrum of the d'Alembertian."

    Here Kempf can expand on the spectrum, for solely potential terms,
    then as for out under the d'Alembertian after de Alembert,
    d'Alembert is a powerful gradient descent method.

    I.e., it is non-trivial, it it super-wave mechanics, yet, over waves,
    in a wave model where under sampling we don't know we're
    standing under usual wave formulations.

    Under sampling....

    Restoring measure to sampling is plainly neat then for
    "Time, Uncertainty, and Chance" and usual enough
    here the stochastic reasoning about the particles in
    fields, maintaining the same metric as the field, the lattice.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From poraty4@gmail.com@21:1/5 to ross.f...@gmail.com on Wed Sep 25 05:46:07 2019
    On Wednesday, September 25, 2019 at 11:44:40 AM UTC+3, ross.f...@gmail.com wrote:
    On Tuesday, September 24, 2019 at 7:35:46 PM UTC-7, ross.f...@gmail.com wrote:
    https://iopscience.iop.org/article/10.1088/1367-2630/12/11/115001/meta

    Achim Kempf, "Spacetime could be simultaneously continuous and discrete,
    in the same way that information can be" - 2010

    Kempf space-time

    Kempf writes in natural signal terms continuum mechanics in
    the signal continuum mechanics, with field continuity, line continuity,
    and signal continuity.

    He frames the discrete and continuous in clearly density terms,
    here bucket filling in continuous and infinite buckets.

    Cantor's theorem is in his way - he works around countable additivity, keeping of course uncountable non-additivity, where the uncountable
    is also the condition that it is relatively uncountable-summability.

    (Of the countably additive.)

    Neatly!

    Then of course it is talking about sampling, the signal analysis,
    where the point is that the discrete signal clearly is incomplete,
    central.

    Sampling under probability, the discrete and continuous
    is in the measurement the "signal", as it differs from the
    impulse, or the wave (falling wave).

    Time terms always speed up to presentation.

    (And state.)

    Sampling, observation, measurement effects,
    these usually work up from measurement effects
    (for example pulling up).

    Sampling usually first is under effect of measurement effect.

    Observation under action and sampling under recognition,
    Kempf's space-time as informatic - information is under terms
    in Kempf's space-time.

    Yeah, information is under terms.

    Kempf points to signal processing canon for signal theory -
    terms under recognition and action, in a theory.

    Indeed, the universe is very information-theoretic.

    Filed under real theories.

    Quotes from Kempf (quotations):

    "The formalism establishes, therefore, an equivalence
    between discrete and continuous representations of
    spacetimes and fields."


    "To address this question,
    it will be useful to implement the UV cutoff."

    "... generically, we may expect (tau) to be invertible,
    as we have a map from R^N into R^N and
    the determinant of the Jacobian has no _obvious_
    reason to vanish."

    "We can expand these fields in terms of eigenfunctions, ...".

    Thanks, I can read!

    "... it is non-trivial to suitably discretize the spectrum of the d'Alembertian."

    Here Kempf can expand on the spectrum, for solely potential terms,
    then as for out under the d'Alembertian after de Alembert,
    d'Alembert is a powerful gradient descent method.

    I.e., it is non-trivial, it it super-wave mechanics, yet, over waves,
    in a wave model where under sampling we don't know we're
    standing under usual wave formulations.

    Under sampling....

    Restoring measure to sampling is plainly neat then for
    "Time, Uncertainty, and Chance" and usual enough
    here the stochastic reasoning about the particles in
    fields, maintaining the same metric as the field, the lattice.

    ====================
    a nice salad of words

    apace is nothing and can do nothing
    physics is not mathematics
    ie
    first of all we have to understand it physically
    if you dont understand it physically and rightly
    no mathematical bla bla will help you !!
    dont expect from space anything it is not
    or can t do
    =====================================================
    MASS IS THE CREATOR OF ALL FORCES INCLUDING GRAVITY ======================================================
    if not understanding it
    no mathematical bla bla will help you in advancing further

    ====

    TIA
    Y.P
    ==================

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From ross.finlayson@gmail.com@21:1/5 to ross.f...@gmail.com on Thu Sep 26 17:28:43 2019
    On Wednesday, September 25, 2019 at 1:44:40 AM UTC-7, ross.f...@gmail.com wrote:
    On Tuesday, September 24, 2019 at 7:35:46 PM UTC-7, ross.f...@gmail.com wrote:
    https://iopscience.iop.org/article/10.1088/1367-2630/12/11/115001/meta

    Achim Kempf, "Spacetime could be simultaneously continuous and discrete,
    in the same way that information can be" - 2010

    Kempf space-time

    Kempf writes in natural signal terms continuum mechanics in
    the signal continuum mechanics, with field continuity, line continuity,
    and signal continuity.

    He frames the discrete and continuous in clearly density terms,
    here bucket filling in continuous and infinite buckets.

    Cantor's theorem is in his way - he works around countable additivity, keeping of course uncountable non-additivity, where the uncountable
    is also the condition that it is relatively uncountable-summability.

    (Of the countably additive.)

    Neatly!

    Then of course it is talking about sampling, the signal analysis,
    where the point is that the discrete signal clearly is incomplete,
    central.

    Sampling under probability, the discrete and continuous
    is in the measurement the "signal", as it differs from the
    impulse, or the wave (falling wave).

    Time terms always speed up to presentation.

    (And state.)

    Sampling, observation, measurement effects,
    these usually work up from measurement effects
    (for example pulling up).

    Sampling usually first is under effect of measurement effect.

    Observation under action and sampling under recognition,
    Kempf's space-time as informatic - information is under terms
    in Kempf's space-time.

    Yeah, information is under terms.

    Kempf points to signal processing canon for signal theory -
    terms under recognition and action, in a theory.

    Indeed, the universe is very information-theoretic.

    Filed under real theories.

    Quotes from Kempf (quotations):

    "The formalism establishes, therefore, an equivalence
    between discrete and continuous representations of
    spacetimes and fields."


    "To address this question,
    it will be useful to implement the UV cutoff."

    "... generically, we may expect (tau) to be invertible,
    as we have a map from R^N into R^N and
    the determinant of the Jacobian has no _obvious_
    reason to vanish."

    "We can expand these fields in terms of eigenfunctions, ...".

    Thanks, I can read!

    "... it is non-trivial to suitably discretize the spectrum of the d'Alembertian."

    Here Kempf can expand on the spectrum, for solely potential terms,
    then as for out under the d'Alembertian after de Alembert,
    d'Alembert is a powerful gradient descent method.

    I.e., it is non-trivial, it it super-wave mechanics, yet, over waves,
    in a wave model where under sampling we don't know we're
    standing under usual wave formulations.

    Under sampling....

    Restoring measure to sampling is plainly neat then for
    "Time, Uncertainty, and Chance" and usual enough
    here the stochastic reasoning about the particles in
    fields, maintaining the same metric as the field, the lattice.


    Fritz London's "Superfluids, Volume 1", I have found
    at this store, Poynting vector and really an excellent
    treatment of the potential, in the superfluid and
    superconductivity model, that the wave model has.

    Kempf's signal model, for example usually waves,
    has a novel modern mathematical placement,
    the Shannon and Nyquist and signal continuity -
    and real value- here for example in transport
    over that in for example waves, or, rational terms.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From ross.finlayson@gmail.com@21:1/5 to ross.f...@gmail.com on Sat Oct 12 11:40:03 2019
    On Thursday, September 26, 2019 at 5:28:45 PM UTC-7, ross.f...@gmail.com wrote:
    On Wednesday, September 25, 2019 at 1:44:40 AM UTC-7, ross.f...@gmail.com wrote:
    On Tuesday, September 24, 2019 at 7:35:46 PM UTC-7, ross.f...@gmail.com wrote:
    https://iopscience.iop.org/article/10.1088/1367-2630/12/11/115001/meta

    Achim Kempf, "Spacetime could be simultaneously continuous and discrete, in the same way that information can be" - 2010

    Kempf space-time

    Kempf writes in natural signal terms continuum mechanics in
    the signal continuum mechanics, with field continuity, line continuity, and signal continuity.

    He frames the discrete and continuous in clearly density terms,
    here bucket filling in continuous and infinite buckets.

    Cantor's theorem is in his way - he works around countable additivity, keeping of course uncountable non-additivity, where the uncountable
    is also the condition that it is relatively uncountable-summability.

    (Of the countably additive.)

    Neatly!

    Then of course it is talking about sampling, the signal analysis,
    where the point is that the discrete signal clearly is incomplete, central.

    Sampling under probability, the discrete and continuous
    is in the measurement the "signal", as it differs from the
    impulse, or the wave (falling wave).

    Time terms always speed up to presentation.

    (And state.)

    Sampling, observation, measurement effects,
    these usually work up from measurement effects
    (for example pulling up).

    Sampling usually first is under effect of measurement effect.

    Observation under action and sampling under recognition,
    Kempf's space-time as informatic - information is under terms
    in Kempf's space-time.

    Yeah, information is under terms.

    Kempf points to signal processing canon for signal theory -
    terms under recognition and action, in a theory.

    Indeed, the universe is very information-theoretic.

    Filed under real theories.

    Quotes from Kempf (quotations):

    "The formalism establishes, therefore, an equivalence
    between discrete and continuous representations of
    spacetimes and fields."


    "To address this question,
    it will be useful to implement the UV cutoff."

    "... generically, we may expect (tau) to be invertible,
    as we have a map from R^N into R^N and
    the determinant of the Jacobian has no _obvious_
    reason to vanish."

    "We can expand these fields in terms of eigenfunctions, ...".

    Thanks, I can read!

    "... it is non-trivial to suitably discretize the spectrum of the d'Alembertian."

    Here Kempf can expand on the spectrum, for solely potential terms,
    then as for out under the d'Alembertian after de Alembert,
    d'Alembert is a powerful gradient descent method.

    I.e., it is non-trivial, it it super-wave mechanics, yet, over waves,
    in a wave model where under sampling we don't know we're
    standing under usual wave formulations.

    Under sampling....

    Restoring measure to sampling is plainly neat then for
    "Time, Uncertainty, and Chance" and usual enough
    here the stochastic reasoning about the particles in
    fields, maintaining the same metric as the field, the lattice.


    Fritz London's "Superfluids, Volume 1", I have found
    at this store, Poynting vector and really an excellent
    treatment of the potential, in the superfluid and
    superconductivity model, that the wave model has.

    Kempf's signal model, for example usually waves,
    has a novel modern mathematical placement,
    the Shannon and Nyquist and signal continuity -
    and real value- here for example in transport
    over that in for example waves, or, rational terms.

    "... or, rational terms."

    Borel, A., Linear Algebraic Groups
    Smirnov, B.M., Introduction to Plasma Physics
    Born, M., Problems of Atomic Dynamics

    This Wagoner and Goldsmith "Cosmic Horizons",
    the cosmic bellows, is under stellar dust.

    i, -1, e?

    "Rational Terms"

    Looking at Saunders' "The Geometry of Jet Bundles",
    it interests me explaining the relevance of its contents
    the modern geometrical space-time theories, including
    for example classical mechanics and relativity and all.

    This is quantum mechanics is explaining things
    in terms of discrete (excluded) particles as a model
    of a continuous wave, of which the particle is a part.

    Pauli exclusion is a usual feature of atomic and quantum
    theories, here for example the nuclear for example as
    with big bang or black hole models of the atomic nucleus,
    it's also expanded upon in those theories as particle interactions
    (which are waves).

    This is the particle in the classical and the potential in waves.


    https://en.wikipedia.org/wiki/Villarceau_circles

    "The torus plays a central role in the Hopf fibration
    of the 3-sphere, S^3, over the ordinary sphere, S^2,
    which has circles, S^1, as fibers. "

    "For any point [on the torus] there exist 4 [Villarceau] circles
    on the torus containing the point."

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From ross.finlayson@gmail.com@21:1/5 to ross.f...@gmail.com on Mon Oct 14 21:14:47 2019
    On Saturday, October 12, 2019 at 11:40:05 AM UTC-7, ross.f...@gmail.com wrote:
    On Thursday, September 26, 2019 at 5:28:45 PM UTC-7, ross.f...@gmail.com wrote:
    On Wednesday, September 25, 2019 at 1:44:40 AM UTC-7, ross.f...@gmail.com wrote:
    On Tuesday, September 24, 2019 at 7:35:46 PM UTC-7, ross.f...@gmail.com wrote:
    https://iopscience.iop.org/article/10.1088/1367-2630/12/11/115001/meta

    Achim Kempf, "Spacetime could be simultaneously continuous and discrete,
    in the same way that information can be" - 2010

    Kempf space-time

    Kempf writes in natural signal terms continuum mechanics in
    the signal continuum mechanics, with field continuity, line continuity, and signal continuity.

    He frames the discrete and continuous in clearly density terms,
    here bucket filling in continuous and infinite buckets.

    Cantor's theorem is in his way - he works around countable additivity, keeping of course uncountable non-additivity, where the uncountable
    is also the condition that it is relatively uncountable-summability.

    (Of the countably additive.)

    Neatly!

    Then of course it is talking about sampling, the signal analysis,
    where the point is that the discrete signal clearly is incomplete, central.

    Sampling under probability, the discrete and continuous
    is in the measurement the "signal", as it differs from the
    impulse, or the wave (falling wave).

    Time terms always speed up to presentation.

    (And state.)

    Sampling, observation, measurement effects,
    these usually work up from measurement effects
    (for example pulling up).

    Sampling usually first is under effect of measurement effect.

    Observation under action and sampling under recognition,
    Kempf's space-time as informatic - information is under terms
    in Kempf's space-time.

    Yeah, information is under terms.

    Kempf points to signal processing canon for signal theory -
    terms under recognition and action, in a theory.

    Indeed, the universe is very information-theoretic.

    Filed under real theories.

    Quotes from Kempf (quotations):

    "The formalism establishes, therefore, an equivalence
    between discrete and continuous representations of
    spacetimes and fields."


    "To address this question,
    it will be useful to implement the UV cutoff."

    "... generically, we may expect (tau) to be invertible,
    as we have a map from R^N into R^N and
    the determinant of the Jacobian has no _obvious_
    reason to vanish."

    "We can expand these fields in terms of eigenfunctions, ...".

    Thanks, I can read!

    "... it is non-trivial to suitably discretize the spectrum of the d'Alembertian."

    Here Kempf can expand on the spectrum, for solely potential terms,
    then as for out under the d'Alembertian after de Alembert,
    d'Alembert is a powerful gradient descent method.

    I.e., it is non-trivial, it it super-wave mechanics, yet, over waves,
    in a wave model where under sampling we don't know we're
    standing under usual wave formulations.

    Under sampling....

    Restoring measure to sampling is plainly neat then for
    "Time, Uncertainty, and Chance" and usual enough
    here the stochastic reasoning about the particles in
    fields, maintaining the same metric as the field, the lattice.


    Fritz London's "Superfluids, Volume 1", I have found
    at this store, Poynting vector and really an excellent
    treatment of the potential, in the superfluid and
    superconductivity model, that the wave model has.

    Kempf's signal model, for example usually waves,
    has a novel modern mathematical placement,
    the Shannon and Nyquist and signal continuity -
    and real value- here for example in transport
    over that in for example waves, or, rational terms.

    "... or, rational terms."

    Borel, A., Linear Algebraic Groups
    Smirnov, B.M., Introduction to Plasma Physics
    Born, M., Problems of Atomic Dynamics

    This Wagoner and Goldsmith "Cosmic Horizons",
    the cosmic bellows, is under stellar dust.

    i, -1, e?

    "Rational Terms"

    Looking at Saunders' "The Geometry of Jet Bundles",
    it interests me explaining the relevance of its contents
    the modern geometrical space-time theories, including
    for example classical mechanics and relativity and all.

    This is quantum mechanics is explaining things
    in terms of discrete (excluded) particles as a model
    of a continuous wave, of which the particle is a part.

    Pauli exclusion is a usual feature of atomic and quantum
    theories, here for example the nuclear for example as
    with big bang or black hole models of the atomic nucleus,
    it's also expanded upon in those theories as particle interactions
    (which are waves).

    This is the particle in the classical and the potential in waves.


    https://en.wikipedia.org/wiki/Villarceau_circles

    "The torus plays a central role in the Hopf fibration
    of the 3-sphere, S^3, over the ordinary sphere, S^2,
    which has circles, S^1, as fibers. "

    "For any point [on the torus] there exist 4 [Villarceau] circles
    on the torus containing the point."


    "Electroweak Interactions: An Introduction..."?

    "Exotic Atoms '79"?

    "... Fundamental Interactions and Structure of Matter".

    https://link.springer.com/chapter/10.1007%2F978-1-4615-9206-8_5

    https://www.nap.edu/read/6288/chapter/8

    "Reversal of time is the only discrete transformation
    of space-time that has not been demonstrated
    to be broken."

    "A deeper understanding of time-reversal invariance
    may hold the key to understanding the origin of the universe."

    "At present, a half-dozen direct searches for neutrino mass
    from the decay of tritium, have found no evidence for finite
    neutrino mass. However, the high-precision data are not completely
    understood, and all the experiments indicate a systematic deviation
    from the normal theory of beta decay."

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)